129023

Properties

Appears in sequences

• Sixth term of weak prime septet: p(m-4)-p(m-5) < p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m).at n=5A054839
• Seventh term of weak prime septet: p(m-5)-p(m-6) < p(m-4)-p(m-5) < p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=4A054840
• Smallest prime with Hamming weight n (i.e., with exactly n 1's when written in binary).at n=15A061712
• Least k such that n! divides C(2k,k).at n=17A072120
• Least k such that n! divides C(2k,k).at n=18A072120
• Counts where both the odd composites (starting from 1) 1 mod 4 and 3 mod 4 are equal.at n=19A093182
• Triangle read by rows in which the n-th row contains the least set of n successive primes whose successive difference forms an arithmetic progression with common difference 2, (successive even numbers).at n=34A094749
• Primes with a single 0 bit in their binary expansion.at n=34A095078
• Primes p whose Zeckendorf-expansion A014417(p) is palindromic.at n=26A095730
• Square root of pi(A064523(n)).at n=23A115835
• Numbers that contain a single zero in bases 2 and 10.at n=32A118681
• Smallest prime p with bigomega(p+1)=n, where bigomega(m)=A001222(m) is the number of prime divisors of m (counted with multiplicity).at n=13A118883
• Primes of the form 14 n^2-1.at n=25A143832
• The fourth row of the ED3 array A167572.at n=12A167574
• Let a(0) = 1. Either, a(n) = the smallest prime not yet occurring in the sequence that, when written in binary, it is a substring in the binary representation of a(n-1); or, if no such prime exists, a(n) = the smallest prime not yet occurring that when written in binary, a(n-1) is contained as a substring within it.at n=39A175310
• Primes of the form 2^t-2^k-1, k>=1.at n=38A181741
• Primes of the form 8n^2 - 9.at n=33A201859
• Smallest prime with at least n 1's when written in binary.at n=15A211997
• Primes that set a new record for the Hamming weight.at n=13A278477
• Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 873", based on the 5-celled von Neumann neighborhood.at n=17A284349